A359956 a(n) is the smallest number with exactly n divisors that are greater than or equal to 5.

5, 10, 18, 24, 30, 48, 80, 60, 90, 192, 144, 120, 210, 180, 450, 240, 560, 1600, 5120, 360, 630, 3465, 900, 960, 2240, 720, 2800, 840, 1890, 10010, 5184, 1260, 3150, 17325, 36864, 1680, 5670, 2880, 11200, 15360, 3600, 19600, 99225, 2520, 6930, 6480, 70000, 61440

Offset

1,1

Links

Table of n, a(n) for n=1..48.

Index entries for sequences related to divisors of numbers

Mathematica

DeleteDuplicates[SortBy[Table[{n, Count[Divisors[n], _?(#>4&)]}, {n, 100000}], Last], GreaterEqual[ #1[[2]], #2[[2]]]&][[;; , 1]] (* Harvey P. Dale, Aug 18 2024 *)

Prog

(PARI) a(n) = my(k=1); while (sumdiv(k, d, (d>=5)) != n, k++); k; \\ Michel Marcus, Jan 20 2023

Crossrefs

Cf. A005179, A338648, A359955, A359957.

Sequence in context: A313989 A313990 A313991 * A208953 A092390 A035608

Adjacent sequences: A359953 A359954 A359955 * A359957 A359958 A359959

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 19 2023

Status

approved